From microscopic dynamics to macroscopic irreversibility
统计力学
2007-05-23 v2 量子物理
摘要
In this contribution we prove that the entropy of an N-body isolated system can not decrease and the entropy production should be non-negative provided the system possesses an equilibrium state. We define the entropy as a functional of the set of n-particle reduced density operators (n=0,....,N) generalizing the von Neumann fine-grained entropy formula. Additionally, as a consequence of our analysis we find the expression of the equilibrium n-particle reduced density operators which enter the definition of the entropy as well as the dissipated energy in an irreversible process.
引用
@article{arxiv.cond-mat/0609475,
title = {From microscopic dynamics to macroscopic irreversibility},
author = {A. Perez-Madrid},
journal= {arXiv preprint arXiv:cond-mat/0609475},
year = {2007}
}